The number 13803
13803 is a binary palindrome (11010111101011). Its prime factorisation is 3 × 43 × 107. Divisors (8): 1, 3, 43, 107, 129, 321, 4601, 13803.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13803: a binary palindrome (11010111101011).
- 2
13803 is composite. Its prime factorisation is
- 3
The divisors add up to 19008; without 13803 itself that is 5205, so 13803 is deficient (5205 is less than 13803). Euler's totient φ(13803) = 8904 numbers up to 13803 share no factor with it.
- 4
The digits of 13803 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13803 = 3 \times 43 \times 107 \]
13803 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19008 |
| Euler totient φ(n) | 8904 |
| Square | 190522809 |
| Cube | 2629786332627 |
| Square root | 117.486169 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3803 × |
13803 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and three |
| Binary (base 2) | 11010111101011 |
| Octal (base 8) | 32753 |
| Hexadecimal (base 16) | 35EB |
| Base 3 | 200221020 |
| As time | 13803 seconds = 3 h 50 min 3 s |
Is 13803 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13803 ÷ 3 = 4601) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13803 a prime number?
No. 13803 = 3 × 43 × 107, so it is divisible by 3.
What are the factors of 13803?
1, 3, 43, 107, 129, 321, 4601, 13803.
What is 13803 in binary?
11010111101011 (hexadecimal 35EB, octal 32753).
What is the square root of 13803?
About 117.4862.
Is 13803 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13803?
13803 is a binary palindrome (11010111101011).